Title: A Low Deborah Number Model For Viscoelastic
Flow Driven Along A Channel By
Suction At Porous Walls
Author(s): D. Lin and R. Evans, The University of
Oklahoma
Presentation: ASME Winter Annual Meeting
Location: New Orleans, Louisiana USA
Date: November 28-December 3, 1993
Abstract: We study the laminar flow of a
non-Newtonian fluid through a uniformly porous channel with
suction at both walls. The results pertinent to the classic
linearly viscous fluid are recovered when the non-Newtonian
material parameter, Deborah number, DE, is set equal to
zero. It is found that the velocity profiles flatten as the
De number increases due to the relaxation effect and the
skin friction at the walls increases with the Deborah
number. By use of numerical calculations, matched asymptotic
expansions of small values of the Deborah number, we found
also that the first-order perturbation solution of the
vertical velocity profiles and axial velocity profiles agree
well with the numerical simulation for the initial-value
problem.
